Classical Lie group actions on \(\pi\)-manifolds

DOI10.2977/prims/1195181827zbMath0538.57021OpenAlexW2065051879WikidataQ115224800 ScholiaQ115224800MaRDI QIDQ793410

Hiromichi Matsunaga

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181827

zbMATH Keywords

actions on Pi-manifoldsgroup actions on sphere bundles over spheresnonexistence theorems of group actionsSO(n)-actionsSp(n)-actionsSU(n)-actions

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15)

Cites Work

• Unnamed Item
• Exceptional orbits of highest dimension
• Classification of differentiable actions on \(S^ n, R^ n\), and \(D^ n\) with \(S^ k\) as the principal orbit type
• On the Classification of Differentiable SO(n) Actions on Simply Connected π-Manifolds
• On the Inertia Group of π-Manifolds
• Differentiable Actions of Compact Connected Classical Groups I
• The Homotopy Theory of Sphere Bundles Over Spheres (I)

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